261838341273600 has 3456 divisors, whose sum is σ = 1208570086563840. Its totient is φ = 52691337216000.

The previous prime is 261838341273563. The next prime is 261838341273617. The reversal of 261838341273600 is 6372143838162.

It is a happy number.

261838341273600 is a `hidden beast` number, since 2 + 6 + 1 + 8 + 3 + 8 + 3 + 4 + 1 + 27 + 3 + 600 = 666.

261838341273600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 92294091382 + ... + 92294094218.

It is an arithmetic number, because the mean of its divisors is an integer number (349701992640).

Almost surely, 2^{261838341273600} is an apocalyptic number.

261838341273600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261838341273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604285043281920).

261838341273600 is an abundant number, since it is smaller than the sum of its proper divisors (946731745290240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

261838341273600 is a wasteful number, since it uses less digits than its factorization.

261838341273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 261838341273600 in words is "two hundred sixty-one trillion, eight hundred thirty-eight billion, three hundred forty-one million, two hundred seventy-three thousand, six hundred".